42. If a room 15 m long requires 7500 tiles, each 15 cm x 12 cm to cover the entire floor, then the breadth of the room is :​

  • matematika

    Subject:

    Math
  • Author:

    abby8
  • Created:

    1 year ago

Answers 2

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The breadth of the room is 9m.

Given:

Length of the room=15 m

Dimensions of the tile=15 cm and 12 cm

Number of tiles=7,500

To find:

The room's breadth

Solution:

The required breadth can be obtained by determining the area of the floor.

The floor's area=number of tiles ×area of each tile

The area of each tile=15 cm × 12 cm

=0.15m×0.12m

=0.018 [tex]m^{2}[/tex]

Using the area of the tile,

The floor's area=7500×0.018

=7500×18/1000

=75×18/10

=75×9/5

=15×9

=135 [tex]m^{2}[/tex]

Now, the area of the floor=length of the room×breadth of the room

Using values,

135=15×breadth

135/15=breadth

9m= breadth

Therefore, the breadth of the room is 9m.

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